Explained: Thermally Perfect Gas (TPG)

[@pierce7876]

Best video ever

[@JoshTheEngineer]

Thanks!

[@UifaleanAlexandru]

Really great videos! However, I cannot get my head around how you've written de and ds in terms of partial derivatives. Could you please provide a brief explanation?

[@JoshTheEngineer]

Thanks! The partial derivatives are there because (in most cases) a state variable can be written as a function of two other state variables. We use the partial derivatives because 'e' and 's' are a function of more than just one variable. Did that answer your question?

[@UifaleanAlexandru]

JoshTheEngineer Thanks for your answer. I think my confusion was in how you write it. Since from maths a chain rule is in the form df/dt = (partial df/dx)(dx/dt) + (partial df/dy)(dy/dt) ... etc. But considering that we are dealing with exact differentials I believe we don’t need to write the “1/dt” part (i.e. df/dt = (partial df/dx)dy + (partial df/dy)dy...). Am I right?

[@tiddlywinks497]

@@UifaleanAlexandru I can't exactly remember what the answer was, but im pretty sure your approach is correct, and that a few of the terms cancel out since there is no change wrt to that variable - result is his answer though.

[@danballzeta]

Great vid

[@JoshTheEngineer]

Thank you!

[@guty95]

I will be gnarliest glad that you can talk slowly. It looks like you in a hurry.

[@JoshTheEngineer]

Thanks for the feedback. You can try to slow down the video to 0.75X speed in the settings.